Physics 2015 JAMB Past Questions - Question 46: a 3m volume of liquid W of density 200kgm is mixed with another liquid L of volume 7m and density 150kgm the density of the mixture is

Correct Answer

B

Explanation

To find the density of the mixture, we can use the formula:

Density of mixture = (Total mass of liquids) / (Total volume of liquids)

First, let's calculate the mass of liquid W:
Mass of liquid W = Volume of liquid W * Density of liquid W
Mass of liquid W = 3m^3 * 200kg/m^3
Mass of liquid W = 600kg

Next, let's calculate the mass of liquid L:
Mass of liquid L = Volume of liquid L * Density of liquid L
Mass of liquid L = 7m^3 * 150kg/m^3
Mass of liquid L = 1050kg

Now, let's calculate the total mass of the mixture:
Total mass of liquids = Mass of liquid W + Mass of liquid L
Total mass of liquids = 600kg + 1050kg
Total mass of liquids = 1650kg

Finally, let's calculate the density of the mixture:
Density of mixture = Total mass of liquids / Total volume of liquids
Density of mixture = 1650kg / (3m^3 + 7m^3)
Density of mixture = 1650kg / 10m^3
Density of mixture = 165kg/m^3

Therefore, the density of the mixture is 165 kg/m^3.